ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)
Menu

12
Issue
vol 59 / DECEMBER, 2016
Article
UDC 534.1

QUASIPERIODIC DYNAMICS OF CONTROL SYSTEM WITH PULSE-WIDTH MODULATION

. Z. Zhanybai
South-West State University, Department of Computer Science and Engineering, Kursk; Professor


A. I. Andriyanov
South-West State University, Department of Radioelectronic and Electrotechnical systems, Kursk;


A. A. Mikhalev
South-West State University, Department of Computer Science and Engineering, Kursk; Post-Graduate Student


V. V. Shein
South-West State University, Department of Computer Science and Engineering, Kursk; Post-Graduate Student


Abstract.   Dynamics of control system with sinusoidal pulse-width modulation is studied. Bifurcation analysis of a 2D model of single-phase pulse-width modulated inverter is carried out. It is shown that along with classical Neimark–Sacker bifurcation, the system demonstrates an invariant torus originated from a periodic motion through a border-collision bifurcation.
Keywords:   single-phase inverter, border-collision bifurcation, invariant torus, piecewise-smooth dynamical systems